Search a number
-
+
105711856437 = 31137531633549
BaseRepresentation
bin110001001110011101…
…0101110101100110101
3101002212020111201021010
41202130322232230311
53212444213401222
6120321403542433
710431431645115
oct1423472565465
9332766451233
10105711856437
1140917650410
12185a282aa19
139c78c9c255
14518b8a5045
152b3a90680c
hex189ceaeb35

105711856437 has 32 divisors (see below), whose sum is σ = 160898140800. Its totient is φ = 61160037120.

The previous prime is 105711856403. The next prime is 105711856457. The reversal of 105711856437 is 734658117501.

It is not a de Polignac number, because 105711856437 - 214 = 105711840053 is a prime.

It is a super-2 number, since 2×1057118564372 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105711856457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752062 + ... + 881487.

It is an arithmetic number, because the mean of its divisors is an integer number (5028066900).

Almost surely, 2105711856437 is an apocalyptic number.

It is an amenable number.

105711856437 is a deficient number, since it is larger than the sum of its proper divisors (55186284363).

105711856437 is a wasteful number, since it uses less digits than its factorization.

105711856437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633653.

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 105711856437 in words is "one hundred five billion, seven hundred eleven million, eight hundred fifty-six thousand, four hundred thirty-seven".

Divisors: 1 3 11 33 37 53 111 159 407 583 1221 1749 1961 5883 21571 64713 1633549 4900647 17969039 53907117 60441313 86578097 181323939 259734291 664854443 952359067 1994563329 2857077201 3203389589 9610168767 35237285479 105711856437